Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 734/207, 495/723, 988/697 quickly i.e. 179485020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 734/207, 495/723, 988/697 is 179485020.
LCM(734/207, 495/723, 988/697) = 179485020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 734/207,495/723,988/697
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 734,495,988
Least Common Multiple of Numerators i.e. LCM of 734,495,988 is 179485020.
GCF of Denominators means GCF of 207,723,697 as per the given fractions.
GCF of 207,723,697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 734,495,988
2 | 734, 495, 988 |
367, 495, 494 |
∴ So the LCM of the given numbers is 2 x 367 x 495 x 494 = 179485020
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 734,495,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,495,988) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(734,495,988) x common factors =1 x 2 = 2
LCM(734,495,988) = ( 734 × 495 × 988 ) / 2
LCM(734,495,988) = 358970040 / 2
LCM(734,495,988) = 179485020
Lets's calculate GCF of 207,723,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179485020/1
Therefore the LCM of Fractions 734/207,495/723,988/697 is 179485020
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 207,723,697 . The biggest common factor number is the GCF number.
So the greatest common factor 207,723,697 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 734/207, 495/723, 988/697?
Answer: LCM of Numerators as per given numbers 734/207, 495/723, 988/697 is
LCM of Numerators i.e. for 734,495,988 is 179485020
GCF of denominators i.e. for 207,723,697 is 1.
Thus, LCM of Fractions is 179485020.Finally, LCM of Fractions for 734/207, 495/723, 988/697 is 179485020.